Final answer:
The landlord would owe the broker $45,000 in total commission for a 10-year lease of two floors of office space at $25 per square foot, calculated as 4% of the total lease value.
Step-by-step explanation:
To determine the total commission owed by the landlord to the broker, we need to calculate the total lease value for two floors of 2,250 rentable square feet at a rate of $25 per square foot per year, over a 10-year term. Afterward, we apply the 4% commission rate to the total lease value.
Step 1: Calculate Total Lease Value
Lease Value per Year = Rent per Sqft × Total Sqft
Lease Value per Year = $25 × (2 × 2,250)
Lease Value per Year = $25 × 4,500
Lease Value per Year = $112,500
Total Lease Value over 10 Years = Lease Value per Year × Number of Years
Total Lease Value over 10 Years = $112,500 × 10
Total Lease Value over 10 Years = $1,125,000
Step 2: Calculate Commission
Total Commission = Total Lease Value × Commission Rate
Total Commission = $1,125,000 × 0.04
Total Commission = $45,000
The landlord would owe the broker a total commission of $45,000 if the tenant signs the lease and pays their first month of rent with these terms.